Explore the intricacies of non-Archimedean holomorphic disks in affine log Calabi-Yau varieties through this comprehensive lecture. Delve into the foundational aspects of the non-Archimedean mirror symmetry program, examining boundary conditions, smoothness, dimension, and properness of the moduli space. Gain insights into non-Archimedean deformation theory, formal models, and Temkin's theory of reduction of germs. Investigate the ongoing research conducted in collaboration with S. Keel, covering topics such as boundarylessness, Kins theory, geometric interpretation, and analytical derivations. Engage with complex mathematical concepts, including model theory, boundary group analysis, and the properties of two discs models.